#### Volume 8, issue 1 (2008)

Knots in lens spaces with the $3$–sphere surgery
 1 J Berge, Some knots with surgeries yielding lens spaces, unpublished manuscript 2 S A Bleiler, R A Litherland, Lens spaces and Dehn surgery, Proc. Amer. Math. Soc. 107 (1989) 1127 MR984783 3 M Boileau, J Porti, Geometrization of 3-orbifolds of cyclic type, Astérisque (2001) 208 MR1844891 4 D Cooper, C D Hodgson, S P Kerckhoff, Three-dimensional orbifolds and cone-manifolds, MSJ Memoirs 5, Mathematical Society of Japan (2000) MR1778789 5 M Culler, C M Gordon, J Luecke, P B Shalen, Dehn surgery on knots, Ann. of Math. $(2)$ 125 (1987) 237 MR881270 6 R Fintushel, R J Stern, Constructing lens spaces by surgery on knots, Math. Z. 175 (1980) 33 MR595630 7 D Gabai, Foliations and the topology of $3$-manifolds. III, J. Differential Geom. 26 (1987) 479 MR910018 8 C M Gordon, J Luecke, Knots are determined by their complements, J. Amer. Math. Soc. 2 (1989) 371 MR965210 9 M Hirasawa, K Shimokawa, Dehn surgeries on strongly invertible knots which yield lens spaces, Proc. Amer. Math. Soc. 128 (2000) 3445 MR1676336 10 T Homma, M Ochiai, M o Takahashi, An algorithm for recognizing $S^{3}$ in $3$-manifolds with Heegaard splittings of genus two, Osaka J. Math. 17 (1980) 625 MR591141 11 T Kaneto, On genus $2$ Heegaard diagrams for the $3$-sphere, Trans. Amer. Math. Soc. 276 (1983) 583 MR688963 12 R Kirby, editor, Problems in low-dimensional topology, from: "Geometric topology (Athens, GA, 1993)", AMS/IP Stud. Adv. Math. 2, Amer. Math. Soc. (1997) 35 MR1470751 13 P Kronheimer, T Mrowka, P Ozsváth, Z Szabó, Monopoles and lens space surgeries, Ann. of Math. $(2)$ 165 (2007) 457 MR2299739 14 L Moser, Elementary surgery along a torus knot, Pacific J. Math. 38 (1971) 737 MR0383406 15 J Rasmussen, Lens space surgeries and a conjecture of Goda and Teragaito, Geom. Topol. 8 (2004) 1013 MR2087076 16 T Saito, The dual knots of doubly primitive knots, to appear in Osaka J. Math. 17 T Saito, Dehn surgery and $(1,1)$-knots in lens spaces, Topology Appl. 154 (2007) 1502 MR2310483 18 S C Wang, Cyclic surgery on knots, Proc. Amer. Math. Soc. 107 (1989) 1091 MR984820 19 Y Q Wu, Cyclic surgery and satellite knots, Topology Appl. 36 (1990) 205 MR1070700